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         Algebraic Topology:     more books (100)
  1. A First Course in Topology: Continuity and Dimension (Student Mathematical Library) by John McCleary, 2006-04-07
  2. Applications of Algebraic Topology: Graphs and Networks, The Picard-Lefschetz Theory and Feynman Integrals (Applied Mathematical Sciences 16) (Volume 0) by S. Lefschetz, 1975-05-13
  3. Fundamental Algebraic Geometry (Mathematical Surveys and Monographs) by Barbara Fantechi, Lothar Gottsche, et all 2006-12-10
  4. Topological Methods in Algebraic Geometry (Classics in Mathematics) by Friedrich Hirzebruch, 1995-02-24
  5. Probabilities on Algebraic Structures (Dover Books on Mathematics) by Ulf Grenander, 2008-02-04
  6. Directed Algebraic Topology: Models of Non-Reversible Worlds (New Mathematical Monographs) by Marco Grandis, 2009-10-30
  7. Algorithmic Topology and Classification of 3-Manifolds (Algorithms and Computation in Mathematics) by Sergei Matveev, 2010-11-02
  8. Algebraic K-Theory II. . "Classical" Algebraic K-Theory, and Connections with Arithmetic.(Lecture Notes in Mathematics 342) (Volume 0) by Hyman Bass, 1973-01-01
  9. Essentials of Topology with Applications (Textbooks in Mathematics) by Steven G. Krantz, 2009-07-28
  10. Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs) by Daniel Huybrechts, 2006-06-29
  11. Intuitive Combinatorial Topology (Universitext) by V.G. Boltyanskii, V.A. Efremovich, 2010-11-02
  12. Topology, Ergodic Theory, Real Algebraic Geometry
  13. Geometry and Topology of Configuration Spaces by Edward R. Fadell, Sufian Y. Husseini, 2000-12-28
  14. Algebra, Algebraic Topology and their Interactions: Proceedings of a Conference held in Stockholm, Aug. 3 - 13, 1983, and later developments (Lecture Notes in Mathematics)

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Algebraic Topology Textbook
URL: http://www.math.cornell.edu/~hatcher/AT/ATpage.html
ODP description: A complete, downloadable, introductory text on Algebraic Topology, by Prof. Allen Hatcher, Cornell Univ. 3rd Ed. 553 pp. with illustrations. Available in pdf and postscript versions.
Page title: Algebraic Topology Book
Page description: A downloadable textbook in algebraic topology
Algebraic Topology
URL: http://www.math.cornell.edu/~hatcher/
ODP description: Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
Page title: Allen Hatcher's Homepage
Page description: A downloadable textbook in algebraic topology
Algebraic Topology
URL: http://www.ams.org/online_bks/coll27/
ODP description: 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.

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63. ø Algebraic Topology Data ø
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Algebraic topology
history Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological space s.
The method of algebraic invariants
The goal is to take topological spaces and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was constructed from simpler ones (the modern standard tool for such construction is the CW-complex ). The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants, by mapping them, for example, to groups which have a great deal of manageable structure in a way that respects the relation of homeomorphism of spaces. This allows one to recast statements about topological spaces into statements about groups, which are often easier to prove. Two major ways in which this can be done are through fundamental group s, or more generally homotopy theory , and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space, but they are often

64. Home > Science > Math > Topology > Algebraic Topology > Open WWW Directory
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67. Verity K2 Document Display
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68. All 1 Entries Tagged Algebraic Topology, Dance Dance
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Dance Dance
All 1 entries tagged Algebraic Topology
No other Warwick Blogs use the tag Algebraic Topology View entries tagged Algebraic Topology at Technorati Algebraic Topology on this blog
June 06, 2007
Wednesday Maths Problems, #11: A real Maths problem
#11: Hairs on a bollock Tennis Ball
A good tennis ball to own if you like The Kaiser Chiefs. An analogue: can wind be blowing over the earth in such a way that no point has horizontal wind speed zero? FUN FACT : Two days after publishing this entry I had to prove a more generalised version of this in my Algebraic Topology exam. The version I had to prove is: For a continuous map f: S there must be some x in S such that either f(x) = x or f(x) = -x.
Solution to the previous problem
the entry and offer your input. James Miles 06 Jun 2007 Tags: Algebraic Topology Exams Hairy Ball Mathematics ... Report a problem Please wait - comments are loading
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69. Estate Investing Great Real Mortgage At Greatrealestateinvesting.com
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80. Algebraic Topology - Wikipedia, The Free Encyclopedia
Retrieved from http//www.knowledgehunter.info/wiki/algebraic_topology . This article is based on the article Algebraic topology of the free encyclopedia
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Algebraic topology
Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces
Contents
edit The method of algebraic invariants
The goal is to take topological spaces and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was constructed from simpler ones (the modern standard tool for such construction is the CW-complex ). The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants, by mapping them, for example, to groups which have a great deal of manageable structure in a way that respects the relation of homeomorphism of spaces. This allows one to recast statements about topological spaces into statements about groups, which are often easier to prove. Two major ways in which this can be done are through fundamental groups , or more generally homotopy theory , and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space, but they are often

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